There are very complex shapes which would be the same from close by and far away.
BENOIT MANDELBROTThere are very complex shapes which would be the same from close by and far away.
More Benoit Mandelbrot Quotes
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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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A formula can be very simple, and create a universe of bottomless complexity.
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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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Asking the right questions is as important as answering them
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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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Order doesn’t come by itself.
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I went to the computer and tried to experiment. I introduced a very high level of experiment in very pure mathematics.
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Clouds are not spheres, mountains are not cones, coastlines are not circles, and bark is not smooth, nor does lightning travel in a straight line.
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There is a saying that every nice piece of work needs the right person in the right place at the right time.
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The techniques I developed for studying turbulence, like weather, also apply to the stock market
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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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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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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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Both chaos theory and fractal have had contacts in the past when they are both impossible to develop and in a certain sense not ready to be developed.
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Unfortunately, the world has not been designed for the convenience of mathematicians.
BENOIT MANDELBROT