 ##  [Zipf's Law](/index.php/zipfs-law) 

  ##  [Zipf's Law](https://social.quantumdictionary.io/zipfs-law-0) 

  
 [![Social Sciences Dictionary](/sites/default/files/styles/large/public/2026-01/Social%20Sciences.png.webp?itok=FFG6NW1n)](/index.php/topic-specific-dictionaries/social-sciences)


**Social Sciences Dictionary**

 
Definition

An empirical regularity that in many rank–frequency datasets the frequency f(r) of the item ranked r is approximately proportional to 1/r^s, often with s near 1; when plotted on log–log axes this produces an approximately linear relationship—commonly observed for word frequencies, city sizes, and similar measures.

 
 ##  [Zipf's Law](https://humanitites.quantumdictionary.io/zipfs-law-1) 

  
 [![Humanities & Arts Dictionary](/sites/default/files/styles/large/public/2026-01/Humanities%20%26%20Arts.png.webp?itok=4SMNHqFS)](/index.php/topic-specific-dictionaries/humanities-arts)


**Humanities &amp; Arts Dictionary**

 
Definition

An empirical regularity for rank–frequency relations stating that the frequency f(r) of the rth most common word is approximately proportional to 1/r^s (often with s ≈ 1), producing a heavy‑tailed distribution where few words are very frequent and many are rare.

 
 ##  [Zipf's Law](https://information.quantumdictionary.io/zipfs-law-2) 

  
 [![Information & Communication Dictionary](/sites/default/files/styles/large/public/2026-01/Information%20%26%20Communication.png.webp?itok=g4emS-T7)](/index.php/topic-specific-dictionaries/information-communication)


**Information &amp; Communication Dictionary**

 
Definition

An empirical regularity observed in large natural-language corpora in which the frequency of a word is approximately inversely proportional to its rank in a frequency-ordered list: f(r) ∝ 1/r for common ranks, with systematic deviations at the highest and lowest ranks. It is an observation about token distribution, not a theoretical necessity.