Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:characterizedBy |
Non-removable isolated singularity
Laurent series with infinitely many negative degree terms |
| gptkbp:contrastsWith |
gptkb:Pole
Removable Singularity |
| gptkbp:definedIn |
Behavior of holomorphic functions
|
| gptkbp:example |
f(z) = exp(1/z) at z=0
f(z) = sin(1/z) at z=0 |
| gptkbp:field |
gptkb:Complex_Analysis
|
| https://www.w3.org/2000/01/rdf-schema#label |
Essential Singularity
|
| gptkbp:namedFor |
gptkb:Karl_Weierstrass
gptkb:Sofia_Kovalevskaya |
| gptkbp:property |
Function attains nearly all complex values near the singularity
Function exhibits wild behavior near the singularity |
| gptkbp:theory |
Casorati-Weierstrass theorem
Picard's Great Theorem |
| gptkbp:bfsParent |
gptkb:Meromorphic_Functions
|
| gptkbp:bfsLayer |
7
|