Statements (20)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
entire functions
|
| gptkbp:category |
theorems in complex analysis
theorems in mathematical physics theorems named after people |
| gptkbp:field |
gptkb:Hamiltonian_mechanics
gptkb:mathematics complex analysis dynamical systems |
| https://www.w3.org/2000/01/rdf-schema#label |
Liouville's theorem
|
| gptkbp:implies |
gptkb:the_fundamental_theorem_of_algebra
|
| gptkbp:namedAfter |
gptkb:Joseph_Liouville
|
| gptkbp:publicationYear |
1844
|
| gptkbp:publishedIn |
gptkb:Journal_de_Mathématiques_Pures_et_Appliquées
|
| gptkbp:sentence |
Every bounded entire function is constant.
|
| gptkbp:variant |
gptkb:Liouville's_theorem_(differential_algebra)
gptkb:Liouville's_theorem_(number_theory) gptkb:Liouville's_theorem_(Hamiltonian_mechanics) |
| gptkbp:bfsParent |
gptkb:phase_space
|
| gptkbp:bfsLayer |
5
|