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Benoit Mandelbrot Quotes

$Beautiful, damn hard, increasingly useful. That’s fractals Picture Quote #1$

Asking the right questions is as important as answering them Picture Quote #1

$When people ask me what’s my field? I say, on one hand, a fractalist. Perhaps the only one, the only full-time one Picture Quote #1$

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 Picture Quote #1

I went to the computer and tried to experiment. I introduced a very high level of experiment in very pure mathematics Picture Quote #1

Pictures were completely eliminated from mathematics; in particular when I was young this happened in a very strong fashion Picture Quote #1

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$The theory of chaos and theory of fractals are separate, but have very strong intersections. That is one part of chaos theory is geometrically expressed by fractal shapes Picture Quote #1$

$Both chaos theory and fractal have had contacts in the past when they are both impossible to develop and in a certain sense not ready to be developed Picture Quote #1$

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 Picture Quote #1

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 Picture Quote #1

I had very, very little training in taking an exam to determine a scientist’s life in France Picture Quote #1

In fact, I barely missed being number one in France in both schools. In particular I did very well in mathematical problems Picture Quote #1

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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 Picture Quote #1

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 Picture Quote #1

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 Picture Quote #1

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 Picture Quote #1

Unfortunately, the world has not been designed for the convenience of mathematicians Picture Quote #1

The techniques I developed for studying turbulence, like weather, also apply to the stock market Picture Quote #1

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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 Picture Quote #1

Self-similarity is a dull subject because you are used to very familiar shapes. But that is not the case. Now many shapes which are self-similar again, the same seen from close by and far away, and which are far from being straight or plane or solid Picture Quote #1

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 Picture Quote #1

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 Picture Quote #1

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 Picture Quote #1

$Both chaos theory and fractal have had contacts in the past when they are both impossible to develop and in a certain sense not ready to be developed Picture Quote #1$

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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 Picture Quote #1

There are very complex shapes which would be the same from close by and far away Picture Quote #1

$A fractal is a way of seeing infinity Picture Quote #1$

I don’t seek power and do not run around Picture Quote #1

I was in an industrial laboratory because academia found me unsuitable Picture Quote #1

$Beautiful, damn hard, increasingly useful. That’s fractals Picture Quote #1$

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Friendship Quotes

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Text Quotes

Beautiful, damn hard, increasingly useful. That’s fractals. (Benoit Mandelbrot Quotes) Asking the right questions is as important as answering them (Benoit Mandelbrot Quotes) When people ask me what’s my field? I say, on one hand, a fractalist. Perhaps the only one, the only full-time one (Benoit Mandelbrot Quotes) 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 Quotes) I went to the computer and tried to experiment. I introduced a very high level of experiment in very pure mathematics (Benoit Mandelbrot Quotes) Pictures were completely eliminated from mathematics; in particular when I was young this happened in a very strong fashion (Benoit Mandelbrot Quotes) The theory of chaos and theory of fractals are separate, but have very strong intersections. That is one part of chaos theory is geometrically expressed by fractal shapes (Benoit Mandelbrot Quotes) Both chaos theory and fractal have had contacts in the past when they are both impossible to develop and in a certain sense not ready to be developed (Benoit Mandelbrot Quotes) 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 Quotes) 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 (Benoit Mandelbrot Quotes) I had very, very little training in taking an exam to determine a scientist’s life in France (Benoit Mandelbrot Quotes) In fact, I barely missed being number one in France in both schools. In particular I did very well in mathematical problems (Benoit Mandelbrot Quotes) 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 (Benoit Mandelbrot Quotes) 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 Quotes) 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 Quotes) 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 Quotes) Unfortunately, the world has not been designed for the convenience of mathematicians (Benoit Mandelbrot Quotes) The techniques I developed for studying turbulence, like weather, also apply to the stock market (Benoit Mandelbrot Quotes) 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 Quotes) Self-similarity is a dull subject because you are used to very familiar shapes. But that is not the case. Now many shapes which are self-similar again, the same seen from close by and far away, and which are far from being straight or plane or solid (Benoit Mandelbrot Quotes) 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 Quotes) 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 Quotes) 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 Quotes) Both chaos theory and fractal have had contacts in the past when they are both impossible to develop and in a certain sense not ready to be developed. (Benoit Mandelbrot Quotes) 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 Quotes) There are very complex shapes which would be the same from close by and far away (Benoit Mandelbrot Quotes) A fractal is a way of seeing infinity (Benoit Mandelbrot Quotes) I don’t seek power and do not run around (Benoit Mandelbrot Quotes) I was in an industrial laboratory because academia found me unsuitable (Benoit Mandelbrot Quotes) Beautiful, damn hard, increasingly useful. That’s fractals (Benoit Mandelbrot Quotes)

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