Why is geometry often described as cold and dry? One reason lies in its inability to describe the shape of a cloud, a mountain, a coastline or a tree.
BENOIT MANDELBROTThe Mandelbrot set is the most complex mathematical object known to mankind.
More Benoit Mandelbrot Quotes
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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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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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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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Think of color, pitch, loudness, heaviness, and hotness. Each is the topic of a branch of physics
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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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I didn’t want to become a pure mathematician, as a matter of fact, my uncle was one, so I knew what the pure mathematician was and I did not want to be a pure – I wanted to do something different.
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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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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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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 beauty of what I happened by extraordinary chance to put together is that nobody would have believed that this is possible, and certainly I didn’t expect that it was possible. I just moved from step to step to step.
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The techniques I developed for studying turbulence, like weather, also apply to the stock market
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The Mandelbrot set is the most complex mathematical object known to mankind.
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A fractal is a way of seeing infinity.
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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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For much of my life there was no place where the things I wanted to investigate were of interest to anyone.
BENOIT MANDELBROT