A fractal is a mathematical set or concrete object that is irregular or fragmented at all scales…
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 techniques I developed for studying turbulence, like weather, also apply to the stock market
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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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Humanity has known for a long time what fractals are. It is a very strange situation in which an idea which each time I look at all documents have deeper and deeper roots, never (how to say it), jelled.
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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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My fate has been that what I undertook was fully understood only after the fact.
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Some mathematicians didn’t even perceive of the possibility of a picture being helpful. To the contrary, I went into an orgy of looking at pictures by the hundreds; the machines became a little bit better.
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A fractal is a way of seeing infinity.
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Engineering is too important to wait for science.
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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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Being a language, mathematics may be used not only to inform but also, among other things, to seduce.
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Nobody will deny that there is at least some roughness everywhere
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If one takes the kinds of risks which I took, which are colossal, but taking risks, I was rewarded by being able to contribute in a very substantial fashion to a variety of fields. I was able to reawaken and solve some very old problems.
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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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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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I had very, very little training in taking an exam to determine a scientist’s life in France.
BENOIT MANDELBROT