##  [Regulator](/regulator) 

  ##  [Regulator](https://puremath.quantumdictionary.io/regulator-0) 

  

 [![Pure Mathematics Dictionary](/sites/default/files/styles/large/public/2026-01/Pure%20Mathematics.png.webp?itok=5pZnFQ59)](/topic-specific-dictionaries/mathematics-logic/pure-mathematics)

- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A positive real invariant of a number field given by the absolute value of the determinant of a matrix whose entries are logarithms of absolute values of a set of fundamental units; it measures the covolume of the unit lattice in the real vector space determined by embeddings.