Liouville's formula

English

Etymology

Named after the French mathematician Joseph Liouville.

Proper noun

Liouville's formula

1. (mathematics) An equation, a generalization of Abel's identity, that expresses the determinant of a square-matrix solution of a first-order system of homogeneous linear differential equations in terms of the sum of the diagonal coefficients of the system.

   Synonym: Abel-Jacobi-Liouville identity