📜 Theorem, law or theory

Heaps' law

Ley de Heaps

Date
1978 · confidence low
Place
Toronto, Ontario, Canada
Credited to
Described by Harold Stanley Heaps in 1978; the same empirical pattern had already been noted by linguist Gustav Herdan in 1960, hence it is also called Herdan's law.
Field
Knowledge & symbols

What was discovered

Empirical law describing the number of distinct words in a text as a power-law function V(n)=Kn^β of its length n, useful for estimating index sizes in information retrieval.

What it led to

  • Estimation of index size in search engines
  • Reference tool in quantitative linguistics
  • Comparison with Zipf's law on word frequency

Links

Sources✓ verified 2026-09-28