A Quote by Benoit Mandelbrot
A fractal is a mathematical set or concrete object that is irregular or fragmented at all scales...
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You existed. You existed now as a fractal. Definition: A fractal is generally a rough or fragmented geometric shape that can be broken into parts, each of which is (at least approximately) a reduced-size copy of the whole. Maybe I was a fractal. Maybe the photographer was a fractal. Maybe we were all fractals.
I conceived, developed and applied in many areas a new geometry of nature, which finds order in chaotic shapes and processes. It grew without a name until 1975, when I coined a new word to denote it, fractal geometry, from the Latin word for irregular and broken up, fractus. Today you might say that, until fractal geometry became organized, my life had followed a fractal orbit.
The Mandelbrot set is the most complex mathematical object known to mankind.
At the earliest drawings of the fractal curve, few clues to the underlying mathematical structure will be seen.
I've learnt new scales through playing different types of music, like Indian raga scales, gipsy scales and harmonically-based jazz scales.
The object of mathematical rigor is to sanction and legitimize the conquests of intuition, and there was never any other object for it.
It's very important to set your place in a concrete environment. I think Chekhov said that the important thing when you have a play or any kind of novel is to set the roots in a concrete place.
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.
I practice all the scales. Everyone should know lots of scales. Actually, I feel there are only scales. What is a chord, if not the notes of a scale hooked together?
The emphasis on mathematical methods seems to be shifted more towards combinatorics and set theory - and away from the algorithm of differential equations which dominates mathematical physics.
It is not the irregular hours or irregular diet that makes the romantic life.
As we speak of poetical beauty, so ought we to speak of mathematical beauty and medical beauty. But we do not do so; and that reason is that we know well what is the object of mathematics, and that it consists in proofs, and what is the object of medicine, and that it consists in healing. But we do not know in what grace consists, which is the object of poetry.
I was in the cement end of the construction business, as a laborer. I was pouring concrete, and stripping forms off of set concrete, and pulling nails, and stacking plywood, and doing that kind of thing. I was in peak condition in those days.
I make fractals. They're like mathematical pictures. My stepdad is actually a rocket scientist, so in his free time, he gave me a fractal program for fun. He showed me how to use it when I was about nine or 10, and I made thousands of fractals.
'The bully pulpit' is somewhat diminished in our age of fragmented attention and fragmented media.
If the system exhibits a structure which can be represented by a mathematical equivalent, called a mathematical model, and if the objective can be also so quantified, then some computational method may be evolved for choosing the best schedule of actions among alternatives. Such use of mathematical models is termed mathematical programming.
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