Liouville's theorem (number theory)
GPTKB entity
Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:category |
theorems in number theory
|
| gptkbp:field |
number theory
|
| gptkbp:firstPublished |
gptkb:Comptes_Rendus
|
| https://www.w3.org/2000/01/rdf-schema#label |
Liouville's theorem (number theory)
|
| gptkbp:implies |
Existence of transcendental numbers
|
| gptkbp:namedAfter |
gptkb:Joseph_Liouville
|
| gptkbp:provenBy |
gptkb:Joseph_Liouville
|
| gptkbp:relatedTo |
gptkb:Liouville_number
algebraic number irrational number transcendental number |
| gptkbp:state |
There exist transcendental numbers.
Any real number that can be approximated 'too closely' by rationals is transcendental. |
| gptkbp:usedToConstruct |
gptkb:Liouville_numbers
|
| gptkbp:yearProved |
1844
|
| gptkbp:bfsParent |
gptkb:Liouville's_theorem
|
| gptkbp:bfsLayer |
6
|