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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 Mandelbrot
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Benoit Mandelbrot
Age: 85 †
Born: 1924
Born: November 20
Died: 2010
Died: October 14
Computer Scientist
Economist
Engineer
Mathematician
Professor
Scientist
Writer
Warszawa
Mandelbrot
B. B.
Benoît Mandelbrot
Benoit B. Mandelbrot
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More quotes by Benoit Mandelbrot
Asking the right questions is as important as answering them
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Smooth shapes are very rare in the wild but extremely important in the ivory tower and the factory.
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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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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 most important thing I have done is to combine something esoteric with a practical issue that affects many people.
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The techniques I developed for studying turbulence, like weather, also apply to the stock market
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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.
Benoit Mandelbrot
There are very complex shapes which would be the same from close by and far away.
Benoit Mandelbrot
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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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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The extraordinary fact is that the first idea I had which motivated me, that worked, is conjecture, a mathematical idea which may or may not be true. And that idea is still unproven. It is the foundation, what started me and what everybody failed to **** prove has so far defeated the greatest efforts by experts to be proven.
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Regular geometry, the geometry of Euclid, is concerned with shapes which are smooth, except perhaps for corners and lines, special lines which are singularities, but some shapes in nature are so complicated that they are equally complicated at the big scale and come closer and closer and they don't become any less complicated.
Benoit Mandelbrot
A formula can be very simple, and create a universe of bottomless complexity.
Benoit Mandelbrot
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.
Benoit Mandelbrot
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.
Benoit Mandelbrot
The straight line has a property of self-similarity. Each piece of the straight line is the same as the whole line when used to a big or small extent.
Benoit Mandelbrot
The rare scholars who are nomads-by-choice are essential to the intellectual welfare of the settled disciplines.
Benoit Mandelbrot
Engineering is too important to wait for science.
Benoit Mandelbrot
My fate has been that what I undertook was fully understood only after the fact.
Benoit Mandelbrot
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.
Benoit Mandelbrot