Fractals Definition and 59 Threads

Hello, I'm looking for some quotes about sequences, fractals and chaos. Any kind of help is welcome. Thanks :)

in the movie "the bank" a mathematical genius predicts the exact movements of the sharemarket after years of research and attempts. he uses Fractal geometry, chaos theory, non-linear dynamics and of special interest to him was the work of mandelbrot and his work regarding fractals. He...

Look around you. Everyday objects, linked together. How? By mathematics. Not a simple design, but a complex wonderful array of chaos models called fractals. These "fractals" are ever changing, always on the brink of a different state. Does this sound like math? Believe it or not, all of the...

This was brought to my attention today, and I haven't had much time to think about it; I think it has something to do with fractals. If you have half a circle with diameter of 2, the circumference will be \pi. If you create two circles, each with diameter of 1, the combined length of the...

Does there exist a set of fractals whose sum defines a differentiable field?

Does the Zeta-function provide every fractal their is or should i take beach photoes? :wink:

What are the practial appliactions of say, fractals? I suppose in some sense they describe objects that appear in nature, eg. trees. But what the use of say Mandelbrot. It just complicates things...

How does the cardinal number for the set of irrational numbers compare to that for a fractal set?

What generalizations can be made concerning fractals of nonzero rational dimensions M/N (where M and N are nonzero integers)? How does a fractal of non-integral dimension F compare geometrically to a fractal of dimension GF, where G is a nonzero integer?