Heap's Law

[MarcoP]

Thank you David and Torsten, I find the discussion of the synthetic text very interesting!

Since the ratio of creation is constant, I get two rapidly diverging lines, as illustrated when I overlay two trend lines and expand them outwards:

David, what do you mean when you say that the ratio of creation is "constant"? Do you mean that the number of unique words increases linearly with text length?

This would be extremely interesting. The absence of fluctuations in the curve for the synthetic text is easy to understand, but if unique words grow linearly, than Heap's law doesn't apply and I would be curious to understand why.