Liouville's theorem (differential algebra)
GPTKB entity
Statements (13)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
differential fields
|
| gptkbp:concerns |
integration
elementary functions |
| gptkbp:field |
differential algebra
|
| https://www.w3.org/2000/01/rdf-schema#label |
Liouville's theorem (differential algebra)
|
| gptkbp:namedAfter |
gptkb:Joseph_Liouville
|
| gptkbp:publishedIn |
gptkb:Journal_de_Mathématiques_Pures_et_Appliquées
|
| gptkbp:state |
if an elementary function has an elementary antiderivative, then it can be written in a specific form involving logarithms and algebraic functions
|
| gptkbp:usedIn |
symbolic integration
|
| gptkbp:year |
1833
|
| gptkbp:bfsParent |
gptkb:Liouville's_theorem
|
| gptkbp:bfsLayer |
6
|