Liouville's Theorem | Liouville Theorem

Liouville's theorem has various meanings, all mathematical results named after Joseph Liouville:

In complex analysis, see Liouville's theorem (complex analysis); there is also a related theorem on harmonic functions.
In conformal mappings, see Liouville's theorem (conformal mappings).
In Hamiltonian mechanics, see Liouville's theorem (Hamiltonian).
In linear differential equations, see Liouville's formula.
In transcendence theory and diophantine approximations, the theorem that any Liouville number is transcendental.
In differential algebra, see Liouville's theorem (differential algebra)
In differential geometry, see Liouville's equation

“To insure the adoration of a theorem for any length of time, faith is not enough, a police force is needed as well.”
—Albert Camus (1913–1960)