Rank–Frequency Law
Definition
The Rank–Frequency Law, Zipf's law, says that in a language the word ranked r is used about 1/r^s as often as the commonest, with s close to 1 in every human language (Zipf, 1949). Binary Pulse Theory reads a universe's written words the same way, and compares the slope with Miller's random-typing monkey, which also gives a slope, so a slope alone never proves a language.
Formally, n_r = n₁ / r^s, where n_r [∅] is the count of the word of rank r, n₁ [∅] that of the commonest word, r [∅] the rank and s [∅] the slope: [∅] = [∅].
It connects to Monkey Exponent, Language of a Universe and Universe Word.
Mathematical Expression
n_r = n₁ / r^s
Technical Details
Category: Manuscript
Chapter: Chapter 4
Importance Level: