"A fractal is a mathematical set or concrete……" — Benoit Mandelbrot
"A fractal is a mathematical set or concrete object that is irregular or fragmented at all scales."
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Benoit Mandelbrot
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42 Quotes by Benoit Mandelbrot
Benoit Mandelbrot has 42 quotes on this site.
A few more worth reading:
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Round about the accredited and orderly facts of every science there ever floats a sort of dustcloud of exceptional observations,…
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Science would be ruined if (like sports) it were to put competition above everything else, and if it were to…
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I conceived and developed a new geometry of nature and implemented its use in a number of diverse fields. It…
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The existence of these patterns [fractals] challenges us to study forms that Euclid leaves aside as being formless, to investigate…
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Why is geometry often described as 'cold' and 'dry?' One reason lies in its inability to describe the shape of…
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The theory of probability is the only mathematical tool available to help map the unknown and the uncontrollable. It is…
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My fate has been that what I undertook was fully understood only after the fact.
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The Mandelbrot set is the most complex mathematical object known to mankind.
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Clouds are not spheres, mountains are not cones, coastlines are not circles, and bark is not smooth, nor does lightning…
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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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Bottomless wonders spring from simple rules, which are repeated without end.
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When the weather changes, nobody believes the laws of physics have changed. Similarly, I don't believe that when the stock…
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More All Quotes
This quote is filed under All Quotes,
one of 128,558 quotes in that category. Here are a few more:
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Total loyalty is possible only when fidelity is emptied of all concrete content, from which changes of mind might naturally…
— Hannah Arendt
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No cause is left but the most ancient of all, the one, in fact, that from the beginning of our…
— Hannah Arendt
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The ultimate end of human acts is eudaimonia, happiness in the sense of living well, which all men desire; all…
— Hannah Arendt
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The new always happens against the overwhelming odds of statistical laws and their probability, which for all practical, everyday purposes…
— Hannah Arendt
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Where all are guilty, no one is; confessions of collective guilt are the best possible safeguard against the discovery of…
— Hannah Arendt
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We have almost succeeded in leveling all human activities to the common denominator of securing the necessities of life and…
— Hannah Arendt
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I keep my friends as misers do their treasure, because, of all the things granted us by wisdom, none is…
— Pietro Aretino
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We must all make peace so that we can all live in peace.
— Jean-Bertrand Aristide
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The spirit of Ubuntu, that once led Haiti to emerge as the first independent black nation in 1804, helped Venezuela,…
— Jean-Bertrand Aristide
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As we all know, many people remain buried under tons of rubble and debris, waiting to be rescued. When we…
— Jean-Bertrand Aristide
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Wise people, even though all laws were abolished, would still lead the same life.
— Aristophanes
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A friend to all is a friend to none.
— Aristotle
See all 128,558 All Quotes »