Zipf's Law

Zipf's law, formulated by George Kingsley Zipf, states that in a natural language corpus, the frequency f(r) of a word is inversely proportional to its rank r in the frequency distribution, given by \(f(r) = \frac{1}{r^s}\), where r is the rank and s (the Zipf coefficient) determines the slope when frequency is plotted against rank on a log–log scale. Interestingly, this pattern can be observed in many systems, such as city populations, income distribution, and website traffic. On this page, you can test your own texts to see if they follow Zipf's law. Make sure the text is long enough; otherwise, the results may be noisy.

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