If you look at a shape like a straight line, what’s remarkable is that if you look at a straight line from close by, from far away, it is the same; it is a straight line.
BENOIT MANDELBROTIn fact, I barely missed being number one in France in both schools. In particular I did very well in mathematical problems.
More Benoit Mandelbrot Quotes
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The Mandelbrot set is the most complex mathematical object known to mankind.
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I didn’t feel comfortable at first with pure mathematics, or as a professor of pure mathematics. I wanted to do a little bit of everything and explore the world.
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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.
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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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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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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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The techniques I developed for studying turbulence, like weather, also apply to the stock market
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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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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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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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Now that I near 80, I realize with wistful pleasure that on many occasions I was 10, 20, 40, even 50 years ahead of my time.
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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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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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A fractal is a mathematical set or concrete object that is irregular or fragmented at all scales…
BENOIT MANDELBROT