For compositions of a finite number of functions, useful in fractal theory, see Iterated function system.
In the future, compression using techniques from digital TV, or based on fractal theory, could become important.
It's an old method they used to use for preliminary test designs, before fractal theory was perfected and computer simulations improved to today's standards.
This is a fundamental theorem of fractal theory.
Mr. Mandelbrot was paired with the composer Charles Wuorinen, whose music was supposed somehow to manifest fractal theory, although the connection was vague.
And whether the fractal theory really explains the relationship of metabolic rate to body size is also still contentious.
These parameters are useful for applications of fractal theory such as classification and identification.
Mandelbrot used his fractal theory to explain the presence of extreme events in Wall Street.
In the course of his discussion, Wellman alludes to scientific developments which have influenced his understanding of the creative process, such as relativity, chaos theory, and fractal theory.
If Mr. Wuorinen used actual fractal theories or formulas in the creation of this score, he did not discuss that either.