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#liouville's_formula

Liouville's formula

Expression in differential equations

In mathematics, Liouville's formula, also known as the Abel–Jacobi–Liouville identity, is an equation 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. The formula is named after the French mathematician Joseph Liouville. Jacobi's formula provides another representation of the same mathematical relationship.

Wed 5th

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Liouville's formula Liouville's theorem Abel's identity List of things named after Joseph Liouville Liouville number Sturm–Liouville theory Liouville's theorem (Hamiltonian) Liouville field theory Liouville's theorem (differential algebra) Liouville's theorem (complex analysis)
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