Liouville's theorem
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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
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