Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
gptkb:Borel's_lemma
|
| gptkbp:appliesTo |
smooth functions
|
| gptkbp:field |
mathematical analysis
differential topology real analysis |
| gptkbp:generalizes |
existence of smooth functions with prescribed Taylor series
|
| https://www.w3.org/2000/01/rdf-schema#label |
Borel's theorem
|
| gptkbp:namedAfter |
gptkb:Émile_Borel
|
| gptkbp:notToBeConfusedWith |
gptkb:Borel–Cantelli_lemma
gptkb:Borel's_theorem_in_measure_theory |
| gptkbp:relatedTo |
gptkb:Taylor_series
gptkb:real_analytic_functions smooth functions |
| gptkbp:sentence |
Any sequence of real numbers is the sequence of derivatives at 0 of some smooth function.
|
| gptkbp:yearProposed |
1895
|
| gptkbp:bfsParent |
gptkb:Whitney_extension_theorem
|
| gptkbp:bfsLayer |
6
|