Liouville's formula

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English[edit]

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Etymology[edit]

Named after the French mathematician Joseph Liouville.

Proper noun[edit]

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