# Zipf's Law

Zipf’s Law, named after George Zipf, states that the frequency of any word is inversley proportional to its rank.

$P_{n}\sim \frac{1}{n^{a}}$

Zipf’s law was demonstrated using the Brown Corpus, a collection of 500 text samples across various topics. Where it can be shown that the word ‘the’ accounts for approximately 7%, and the words ‘of’ and ‘to’ occur in approximate 3%.

Written on December 10, 2022