# Liouville's Theorem

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## Disambiguation

This page lists articles associated with the same title. If an internal link led you here, you may wish to change the link to point directly to the intended article.

**Liouville's Theorem** may refer to:

- Liouville's Lemma, concerning diophantine approximations.
- Liouville's Theorem (Hamiltonian Mechanics): the phase-space distribution function is constant along the trajectories of the system.
- Liouville's Theorem (Number Theory), about the transcendental nature of Liouville numbers.
- Liouville's Theorem (Differential Algebra): how to tell whether an elementary function has an elementary integral.
- Liouville's Theorem (Conformal Mappings): all conformal mappings are Möbius transformations.
- Liouville's Theorem (Complex Analysis): any bounded entire complex function is constant.