Information Dimension
Define the ``information function'' to be
 | (1) |
is the Natural Measure, or probability that element 
is populated, normalized such that | (2) |
 |  |  | |
 |  | (3) |
If every element is equally likely to be visited, then
is independent of , and | (4) |
 | (5) |
| |  | |
|  | (6) |
where
is the Capacity Dimension.See also Correlation Exponent
References
Farmer, J. D. ``Chaotic Attractors of an Infinite-dimensional Dynamical System.'' Physica D 4, 366-393, 1982.
Nayfeh, A. H. and Balachandran, B. Applied Nonlinear Dynamics: Analytical, Computational, and Experimental Methods. New York: Wiley, pp. 545-547, 1995.
- Bar (Edge)
- Barnes G-Function
- Barnes' Lemma
- Barnes-Wall Lattice
- Barnsley's Fern
- Bar Polyhex
- Bar Polyiamond
- Barrier
- Barth Decic
- Barth Sextic
- Bartlett Function
- Barycentric Coordinates
- Baseball
- Baseball Cover
- Base Curve
- Base (Logarithm)
- Base (Neighborhood System)
- Base (Number)
- Base Space
- Basin of Attraction
- Basis
- Basis Theorem
- Basler Problem
- Basset Function
- Batch