Category:Liouville's Theorem

This category contains pages concerning Liouville's Theorem:

• 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):

concerning 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):

a conformal mapping is a Möbius transformation.

• Liouville's Theorem (Complex Analysis):

a bounded entire complex function is constant.

Source of Name

This entry was named for Joseph Liouville.