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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
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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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Line
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Straight
Self
Piece
More quotes by 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
There are very complex shapes which would be the same from close by and far away.
Benoit Mandelbrot
Nobody will deny that there is at least some roughness everywhere
Benoit Mandelbrot
An extraordinary amount of arrogance is present in any claim of having been the first in inventing something.
Benoit Mandelbrot
Unfortunately, the world has not been designed for the convenience of mathematicians.
Benoit Mandelbrot
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.
Benoit Mandelbrot
A formula can be very simple, and create a universe of bottomless complexity.
Benoit Mandelbrot
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.
Benoit Mandelbrot
Engineering is too important to wait for science.
Benoit Mandelbrot
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.
Benoit Mandelbrot
There is a saying that every nice piece of work needs the right person in the right place at the right time.
Benoit Mandelbrot
A fractal is a way of seeing infinity.
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
I had very, very little training in taking an exam to determine a scientist's life in France.
Benoit Mandelbrot
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.
Benoit Mandelbrot
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.
Benoit Mandelbrot
In mathematics and science definition are simple, but bare-bones. Until you get to a problem which you understand it takes hundreds and hundreds of pages and years and years of learning.
Benoit Mandelbrot
A cloud is made of billows upon billows upon billows that look like clouds. As you come closer to a cloud you don't get something smooth, but irregularities at a smaller scale.
Benoit Mandelbrot
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
Everybody in mathematics had given up for 100 years or 200 years the idea that you could from pictures, from looking at pictures, find new ideas. That was the case long ago in the Middle Ages, in the Renaissance, in later periods, but then mathematicians had become very abstract.
Benoit Mandelbrot
