Бенуа Мандельброт цитаты

Бенуа Мандельброт фото
10   3

Бенуа Мандельброт

Дата рождения: 20. Ноябрь 1924
Дата смерти: 14. Октябрь 2010

Бенуа́ Мандельбро́т — французский и американский математик, создатель фрактальной геометрии. Лауреат премии Вольфа по физике .

Цитаты Бенуа Мандельброт

Help us translate English quotes

Discover interesting quotes and translate them.

Start translating

„An extraordinary amount of arrogance is present in any claim of having been the first in "inventing" something. It's an arrogance that some enjoy, and others do not. Now I reach beyond arrogance when I proclaim that fractals had been pictured forever but their true role remained unrecognized and waited for me to be uncovered.“

—  Benoît Mandelbrot

A Theory of Roughness (2004)
Контексте: My book, The Fractal Geometry of Nature, reproduced Hokusai's print of the Great Wave, the famous picture with Mt. Fuji in the background, and also mentioned other unrecognized examples of fractality in art and engineering. Initially, I viewed them as amusing but not essential. But I changed my mind as innumerable readers made me aware of something strange. They made me look around and recognize fractals in the works of artists since time immemorial. I now collect such works. An extraordinary amount of arrogance is present in any claim of having been the first in "inventing" something. It's an arrogance that some enjoy, and others do not. Now I reach beyond arrogance when I proclaim that fractals had been pictured forever but their true role remained unrecognized and waited for me to be uncovered.

„The word fractal, once introduced, had an extraordinary integrating effect upon myself and upon many people around.“

—  Benoît Mandelbrot

Segment 67
Peoples Archive interview
Контексте: The word fractal, once introduced, had an extraordinary integrating effect upon myself and upon many people around. Initially again it was simply a word to write a book about, but once a word exists one begins to try to define it, even though initially it was simply something very subjective and indicating my field. Now the main property of all fractals, put in very loose terms, is that each part — they're made of parts — each part is like the whole except it is smaller. After having coined this word I sorted my own research over a very long period of time and I realised that I had been doing almost nothing else in my life.

„People want to see patterns in the world. It is how we evolved.“

—  Benoît Mandelbrot

Источник: The (Mis)Behavior of Markets (2004, 2008), Ch. 12, p. 245
Контексте: People want to see patterns in the world. It is how we evolved. We descended from those primates who were best at spotting the telltale pattern of a predator in the forest, or of food in the savannah. So important is this skill that we apply it everywhere, warranted or not.

„For many years I had been hearing the comment that fractals make beautiful pictures, but are pretty useless. I was irritated because important applications always take some time to be revealed.“

—  Benoît Mandelbrot

A Theory of Roughness (2004)
Контексте: For many years I had been hearing the comment that fractals make beautiful pictures, but are pretty useless. I was irritated because important applications always take some time to be revealed. For fractals, it turned out that we didn't have to wait very long. In pure science, fads come and go. To influence basic big-budget industry takes longer, but hopefully also lasts longer.

„Clouds are not spheres, mountains are not cones, coastlines are not circles, and bark is not smooth, nor does lightning travel in a straight line.“

—  Benoît Mandelbrot, книга The Fractal Geometry of Nature

The Fractal Geometry of Nature (1982)
Контексте: Clouds are not spheres, mountains are not cones, coastlines are not circles, and bark is not smooth, nor does lightning travel in a straight line. <!-- ** p. 1

„The thought that one unifying idea should continue forever is simply not realistic and therefore not to be hoped for“

—  Benoît Mandelbrot

Segment 144
Peoples Archive interview
Контексте: The thought that one unifying idea should continue forever is simply not realistic and therefore not to be hoped for, but I think that for quite a number of years still, perhaps if I am lucky to the end of my life, because I would hate to see that stop in my lifetime, those questions will become very active and still somewhat separate, as different branches of learning become accustomed to them. I cannot imagine that this idea would vanish, not because I am so proud of what I've been doing all my life, but because this is not an artificial thought coming from nowhere in no time and vanishing again rapidly in no time. It has in every one of its manifestations profound roots in the history of the various sciences and the various manners of human enterprise and those roots will not be broken. The continuity of these thoughts will continue, and if any substitute comes, if any other name comes, which is possible, the ideas will remain.

„The next thing which surprised us very much, is that both for Julia sets and even more so for the Mandelbrot set, the complication was not, how to say, arbitrary, and almost everybody found the impression that these shapes were hauntingly beautiful.“

—  Benoît Mandelbrot

Segment 85
Peoples Archive interview
Контексте: The next thing which surprised us very much, is that both for Julia sets and even more so for the Mandelbrot set, the complication was not, how to say, arbitrary, and almost everybody found the impression that these shapes were hauntingly beautiful. These shapes resulted from the most ridiculous transformation, z2+c, taken seriously, respectfully and visually. And people thought at first that they were totally wild, totally extraterrestrial, but then after a very short time, they came back and said, "You know, I think they remind me of something. I think they're natural. I think they are like perhaps nightmares or dreams, but they're natural." And this combination of being so new, because literally when we saw them nobody had seen them before, and being the next day so familiar, is still to me extraordinarily baffling.

„A complicated phenomenon need not be fractal, but finding that a phenomenon is "not even fractal" is bad news, because so far nobody has invested anywhere near my effort in identifying and creating new techniques valid beyond fractals.“

—  Benoît Mandelbrot

A Theory of Roughness (2004)
Контексте: Do I claim that everything that is not smooth is fractal? That fractals suffice to solve every problem of science? Not in the least. What I'm asserting very strongly is that, when some real thing is found to be un-smooth, the next mathematical model to try is fractal or multi-fractal. A complicated phenomenon need not be fractal, but finding that a phenomenon is "not even fractal" is bad news, because so far nobody has invested anywhere near my effort in identifying and creating new techniques valid beyond fractals. Since roughness is everywhere, fractals — although they do not apply to everything — are present everywhere. And very often the same techniques apply in areas that, by every other account except geometric structure, are separate.

„Contrary to popular opinion, mathematics is about simplifying life, not complicating it.“

—  Benoît Mandelbrot

Источник: The (Mis)Behavior of Markets (2004, 2008), Ch. 7, p. 125
Контексте: Contrary to popular opinion, mathematics is about simplifying life, not complicating it. A child learns a bag of candies can be shared fairly by counting them out: That is numeracy. She abstracts that notion to dividing a candy bar into equal pieces: arithmetic. Then, she learns how to calculate how much cocoa and sugar she will need to make enough chocolate for fifteen friends: algebra.

„It is beyond belief that we know so little about how people get rich or poor, about how it is they come to dwell in comfort and health or die in penury and disease.“

—  Benoît Mandelbrot

Источник: The (Mis)Behavior of Markets (2004, 2008), Ch. 13, p. 254–255
Контексте: It is beyond belief that we know so little about how people get rich or poor, about how it is they come to dwell in comfort and health or die in penury and disease. Financial markets are the machines in which much of human welfare is decided; yet we know more about how our car engines work than about how our global financial system functions. We lurch from crisis to crisis. In a networked world, mayhem in one market spreads instantaneously to all others—and we have only the vaguest of notions how this happens, or how to regulate it. So limited is our knowledge that we resort, not to science, but to shamans. We place control of the world's largest economy in the hands of a few elderly men, the central bankers.

„Lorem ipsum dolor sit amet, consectetuer adipiscing elit. Etiam egestas wisi a erat. Morbi imperdiet, mauris ac auctor dictum.“

Подобные авторы

Симона Вейль фото
Симона Вейль18
французский философ и религиозный мыслитель
Макс Борн фото
Макс Борн1
немецкий и британский физик-теоретик и математик
Анри де Монтерлан фото
Анри де Монтерлан39
французский писатель
Этьен Рей фото
Этьен Рей22
французский писатель
Франсуа Мориак фото
Франсуа Мориак24
французский писатель
Андре Жид фото
Андре Жид22
французский писатель
Жан Ануй фото
Жан Ануй16
французский драматург и сценарист
Жак Превер фото
Жак Превер6
французский поэт и сценарист
Марсель Ашар фото
Марсель Ашар20
французский сценарист и драматург
Сегодня годовщина
Василий Осипович Ключевский фото
Василий Осипович Ключевский148
русский историк 1841 - 1911
Кейт Мосс фото
Кейт Мосс13
английская супермодель и актриса 1974
Михаил Михайлович Пришвин фото
Михаил Михайлович Пришвин100
русский советский писатель 1873 - 1954
Другая 61 годовщин
Подобные авторы
Симона Вейль фото
Симона Вейль18
французский философ и религиозный мыслитель
Макс Борн фото
Макс Борн1
немецкий и британский физик-теоретик и математик
Анри де Монтерлан фото
Анри де Монтерлан39
французский писатель
Этьен Рей фото
Этьен Рей22
французский писатель