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Liouville's formula

Liouville's formula proper noun: 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.

Proper noun

Liouville's formula

  1. 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.

Synonyms of Liouville's formula

Origin of Liouville's formula

Named after the French mathematician Joseph Liouville.

Questions about Liouville's formula

What does Liouville's formula mean?
Liouville's formula means 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.
What part of speech is Liouville's formula?
Liouville's formula is a proper noun.

Words near Liouville's formula in the dictionary

  1. Lioujiao
  2. Lious
  3. Liouville
  4. Liouville number
  5. Liouville numbers
  6. Liouville's formula
  7. Liouville-Arnold theorem
  8. Liouying
  9. lioz
  10. lip
  11. lip balm

Source and license

Adapted from Wiktionary: Liouville's formula (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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