^{PDFprof.com Search Engine}

lectures on fractals and dimension theory

What is the fractal dimension theory?
Fractal dimension is a measure of how "complicated" a self-similar figure is.
In a rough sense, it measures "how many points" lie in a given set.
A plane is "larger" than a line, while S sits somewhere in between these two sets.
Are fractals 4th dimension?
Fractal-like networks effectively endow life with an additional fourth spatial dimension.
This is the origin of quarter-power scaling that is so pervasive in biology.
What is the theory of fractals?
The underlying principle of fractals is that a simple process that goes through infinitely many iterations becomes a very complex process.
Fractals attempt to model the complex process by searching for the simple process underneath.
Most fractals operate on the principle of a feedback loop.
The concept of "fractal dimension" is attributed to a 20th century mathematician, Benoit Mandelbrot.
His fractal theory was developed in order to try to more precisely quantify the immense complexity of nature in relatively simple equations.

LECTURES ON FRACTALS AND DIMENSION THEORY. 81. 7. One dimensional Iterated Function Schemes with overlaps. In this chapter we shall consider one dimensional

Articles universitaires correspondant aux termes lectures on fractals and dimension theory

scholar.google.com › citationsLectures on fractal geometry and dynamical systems
Pesin · Cité 49 fois Fractals and universal spaces in dimension theory
Lipscomb · Cité 36 fois Analysis on fractals
Strichartz · Cité 220 foisAutres questions

lectures on fractals and dimension theory

What is the fractal dimension theory?

Are fractals 4th dimension?

What is the theory of fractals?

Articles universitaires correspondant aux termes lectures on fractals and dimension theory