Statements (24)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:application |
mathematical physics
partial differential equations approximation theory |
| gptkbp:characterizedBy |
Taylor series converges to function in neighborhood of every point
|
| gptkbp:contrastsWith |
smooth functions
C-infinity functions |
| gptkbp:definedIn |
open subset of real numbers
|
| gptkbp:example |
exponential function
cosine function sine function polynomial function real part of holomorphic function |
| gptkbp:field |
gptkb:mathematics
|
| gptkbp:hasSubfield |
complex analysis
real analysis |
| https://www.w3.org/2000/01/rdf-schema#label |
real analytic functions
|
| gptkbp:property |
infinitely differentiable
locally given by convergent power series not all smooth functions are analytic |
| gptkbp:studiedBy |
gptkb:mathematician
|
| gptkbp:bfsParent |
gptkb:Borel's_theorem
gptkb:Malgrange_preparation_theorem |
| gptkbp:bfsLayer |
7
|