Statements (14)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
gptkb:Taylor_series
smooth functions |
| gptkbp:field |
mathematical analysis
real analysis |
| https://www.w3.org/2000/01/rdf-schema#label |
Borel's lemma
|
| gptkbp:namedAfter |
gptkb:Émile_Borel
|
| gptkbp:relatedTo |
gptkb:Borel's_theorem
|
| gptkbp:sentence |
Given any sequence of real numbers, there exists a smooth function whose derivatives at a point match the sequence.
|
| gptkbp:usedIn |
partial differential equations
function theory |
| gptkbp:yearProposed |
1895
|
| gptkbp:bfsParent |
gptkb:Borel's_theorem
|
| gptkbp:bfsLayer |
7
|