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Even in the case of noise-free data the dimension estimates will have a
systematic error due to, for example, lack of self-similarity.
Furthermore, we have to estimate the dimension at distances greater
than zero, for which the relation
does not exactly
hold.
This is another source of systematic errors, as will be demonstrated by
the following two analytical examples.
Numerical examples can be found in Chapters 3, 5 and 7.

**Subsections**

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