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Infinite monkey theorem
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=== Zipf's law === [[Zipf's law]] states that the frequency of words is a power law function of its frequency rank:<math display="block">\text{word frequency} \propto \frac{1}{(\text{word rank} + b)^a}</math>where <math>a, b</math> are real numbers. Assuming that a monkey is typing randomly, with fixed and nonzero probability of hitting each letter key or white space, then the text produced by the monkey follows Zipf's law.<ref>{{Cite journal |last1=Conrad |first1=B. |last2=Mitzenmacher |first2=M. |date=July 2004 |title=Power laws for monkeys typing randomly: the case of unequal probabilities |url=https://ieeexplore.ieee.org/document/1306541 |journal=IEEE Transactions on Information Theory |volume=50 |issue=7 |pages=1403β1414 |doi=10.1109/TIT.2004.830752 |s2cid=8913575 |issn=1557-9654}}</ref>
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