The straight line has a property of self-similarity. Each piece of the straight line is the same as the whole line when used to a big or small extent.
BENOIT MANDELBROTMy life has been extremely complicated. Not by choice at the beginning at all, but later on, I had become used to complication and went on accepting things that other people would have found too difficult to accept.
More Benoit Mandelbrot Quotes
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Think not of what you see, but what it took to produce what you see.
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Although computer memory is no longer expensive, there’s always a finite size buffer somewhere. When a big piece of news arrives, everybody sends a message to everybody else, and the buffer fills
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I had very, very little training in taking an exam to determine a scientist’s life in France.
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The theory of chaos and theory of fractals are separate, but have very strong intersections. That is one part of chaos theory is geometrically expressed by fractal shapes.
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I had many books and I had dreams of all kinds. Dreams in which were in a certain sense, how to say, easy to make because the near future was always extremely threatening.
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It was astonishing when at one point, I got the idea of how to make artifical clouds with a collaborator, we had pictures made which were theoretically completely artificial pictures based upon that one very simple idea. And this picture everybody views as being clouds.
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A fractal is a way of seeing infinity.
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Beautiful, damn hard, increasingly useful. That’s fractals.
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One couldn’t even measure roughness. So, by luck, and by reward for persistence, I did found the theory of roughness, which certainly I didn’t expect and expecting to found one would have been pure madness.
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The techniques I developed for studying turbulence, like weather, also apply to the stock market
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I was in an industrial laboratory because academia found me unsuitable
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Being a language, mathematics may be used not only to inform but also, among other things, to seduce.
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I’ve been a professor of mathematics at Harvard and at Yale. At Yale for a long time. But I’m not a mathematician only. I’m a professor of physics, of economics, a long list. Each element of this list is normal. The combination of these elements is very rare at best.
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An extraordinary amount of arrogance is present in any claim of having been the first in inventing something.
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A formula can be very simple, and create a universe of bottomless complexity.
BENOIT MANDELBROT