Pictures were completely eliminated from mathematics; in particular when I was young this happened in a very strong fashion.
BENOIT MANDELBROTI went to the computer and tried to experiment. I introduced a very high level of experiment in very pure mathematics.
More Benoit Mandelbrot Quotes
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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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In fact, I barely missed being number one in France in both schools. In particular I did very well in mathematical problems.
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There are very complex shapes which would be the same from close by and far away.
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The rare scholars who are nomads-by-choice are essential to the intellectual welfare of the settled disciplines.
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Unfortunately, the world has not been designed for the convenience of mathematicians.
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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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I conceived and developed a new geometry of nature and implemented its use in a number of diverse fields. It describes many of the irregular and fragmented patterns around us, and leads to full-fledged theories, by identifying a family of shapes I call fractals.
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Order doesn’t come by itself.
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If you have a hammer, use it everywhere you can, but I do not claim that everything is fractal.
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My fate has been that what I undertook was fully understood only after the fact.
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Nobody will deny that there is at least some roughness everywhere
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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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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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The Mandelbrot set is the most complex mathematical object known to mankind.
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Being a language, mathematics may be used not only to inform but also, among other things, to seduce.
BENOIT MANDELBROT