Zipf's Law
Updated 2026-08-05
INTRODUCTION
English translation pending.
CORE DEFINITION
In a natural language corpus, a word's frequency is inversely proportional to its rank in the frequency table; the nth-ranked word occurs 1/n as often as the first. The pattern extends far beyond language, to city populations and website traffic. It reveals that self-organizing systems tend toward a least-effort structure, so menus, directories, and resource allocations should follow the distribution by making the most-used items the most accessible.
SCAFFOLDING EFFECT
Reduce cognitive load
- Rank fit: plot your data by rank and test it against the power law. - Head weight: identify the few items that carry most of the total load. - Access design: place the most-used items one move away and let the long tail wait.
Anchor fast decisions
Usage concentrates because choosing the familiar option costs less than searching for a better one, and each use reinforces the item's prominence. The resulting frequency distribution follows an inverse power of rank, producing a heavy head and a long tail across very many systems.
MINIMUM ACTION
In progress 0/1Practice this model in one real situation:
account_treeGenealogyexpand_more
menu_bookReferencesexpand_more
Source support: Explicit
- zh.wikipedia.orghttps://zh.wikipedia.org/wiki/%E9%BD%8A%E5%A4%AB%E5%AE%9A%E5%BE%8Bverified
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