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Correlation dimension can be calculated using the distances
between each pair of points in the set of N number of points,

A correlation function, C(r), is then calculated using,

*C*(*r*) has been found to follow a power law similar to the one seen in
the capacity dimension:
.
Therefore, we can find
*D*_{corr} with estimation techniques derived from the formula:

*C*(*r*) can be written in a more mathematical form as

where
is the Heaviside step function described as,

*Sandip Thanki *

1999-07-29