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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
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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
Something
Closer
Irregularities
Like
Scales
Billows
Clouds
Fractals
Upon
Irregularity
Look
Cloud
Come
Smaller
Looks
Smooth
Made
Scale
More quotes by 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
The techniques I developed for studying turbulence, like weather, also apply to the stock market
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
Unfortunately, the world has not been designed for the convenience of mathematicians.
Benoit Mandelbrot
I went to the computer and tried to experiment. I introduced a very high level of experiment in very pure mathematics.
Benoit Mandelbrot
Think of color, pitch, loudness, heaviness, and hotness. Each is the topic of a branch of physics
Benoit Mandelbrot
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.
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
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
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
There is a saying that every nice piece of work needs the right person in the right place at the right time.
Benoit Mandelbrot
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
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
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
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
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
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 beauty of what I happened by extraordinary chance to put together is that nobody would have believed that this is possible, and certainly I didn't expect that it was possible. I just moved from step to step to step.
Benoit Mandelbrot