 |
where 
is an 
-dimensional
ball of radius 
centered at 
and 
is the probability measure.
Pointwise Dimension
See also
Ball, Probability MeasureExplore with Wolfram|Alpha
References
Nayfeh, A. H. and Balachandran, B. Applied Nonlinear Dynamics: Analytical, Computational, and Experimental Methods. New York: Wiley, pp. 541-545, 1995.Referenced on Wolfram|Alpha
Pointwise DimensionCite this as:
Weisstein, Eric W. "Pointwise Dimension." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/PointwiseDimension.html