The levels are related by a ratio called the fractal dimension.

The fractal dimension of a single contour will be between 1 and 2.

Thus the fractal dimension of the universe would need to be less than 2 for this explanation to work.

A chamber, as they say, of high fractal dimension.

Furthermore, the fractal dimensions measured are for the networks respectively.

Also, another measure of fractal dimension is the correlation dimension.

One non-trivial example is the fractal dimension of a Koch snowflake.

This power law exponent "D" has been called a fractal dimension. "

The fractal dimension measures described in this article are for formally-defined fractals.

The fractal dimension of these irregularities is 2.5 .

Some complex networks are characterized by fractal dimensions.

Similarly, the fractal dimension will give us information about the density of orbits in the invariant set.

Yes, "fractal dimension" does have a meaningful definition.

There are many specific definitions of fractal dimension and none of them should be treated as the universal one.

The concept of fractal dimension described in this article is a basic view of a complicated construct.

In order to measure the fractal dimension of networks we add the concept of renormalization.

On this basis we can calculate the fractal dimension of the invariant set:

Several formal mathematical definitions of different types of fractal dimension are listed below.

They have been analysed and found to contain a fractal dimension which has been attributed to his technique.

Cauliflower has been noticed by mathematicians for its distinct fractal dimension, predicted to be about 2.8.

The fractal dimension of the boundary equals .

Fractal dimension is altered in some motor dysfunctions.

The new fractal is self-similar to the original in some important features such as fractal dimension.

There is a relationship between chaos and fractals-the strange attractors in chaotic systems have a fractal dimension.

Besicovitch On linear sets of points of fractal dimension, Math.