Fractal Dimension

The term ``fractal dimension'' is sometimes used to refer to what is more commonly called the Capacity Dimension (whichis, roughly speaking, the exponent in the expression , where is the minimum numberof Open Sets of diameter needed to cover the set). However, it can more generally refer to any ofthe dimensions commonly used to characterize fractals (e.g., Capacity Dimension, Correlation Dimension,Information Dimension, Lyapunov Dimension, Minkowski-Bouligand Dimension).

References

Rasband, S. N. ``Fractal Dimension.'' Ch. 4 in Chaotic Dynamics of Nonlinear Systems. New York: Wiley, pp. 71-83, 1990.

• Stochastic Resonance
• Stokes Phenomenon
• Stokes' Theorem
• Stolarsky Array
• Stolarsky-Harborth Constant
• Stolarsky's Inequality
• Stomachion
• Stone Space
• Stone-von Neumann Theorem
• Stopper Knot
• Straight Angle
• Straightedge
• Straight Line
• Straight Polyomino
• Strange Attractor
• Strange Loop
• Strangers
• Strassen Formulas
• Strassman's Theorem
• Strassnitzky's Formula
• Strategy
• Stratified Manifold
• Strehl Identity
• Striction Curve
• String Rewriting