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but the correlation dimension has the advantage of being straightforwardly and quickly calculated, of being less noisy when only a small number of points is available, and is often in agreement with other calculations of dimension.

For any set of N points in an m-dimensional space

:

then the correlation integral C(ε) is calculated by:

:

where g is the total number of pairs of points which have a distance between them that is less than distance ε

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