Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
holomorphic functions
meromorphic functions |
| gptkbp:category |
theorems in complex analysis
|
| gptkbp:field |
complex analysis
|
| gptkbp:firstPublished |
1825
|
| https://www.w3.org/2000/01/rdf-schema#label |
Cauchy residue theorem
|
| gptkbp:namedAfter |
gptkb:Augustin-Louis_Cauchy
|
| gptkbp:relatedTo |
gptkb:Cauchy's_integral_theorem
gptkb:Laurent_series residue (complex analysis) |
| gptkbp:state |
The integral of a function around a closed curve is 2πi times the sum of the residues inside the curve
|
| gptkbp:usedFor |
evaluating contour integrals
|
| gptkbp:usedIn |
applied mathematics
engineering mathematical physics |
| gptkbp:bfsParent |
gptkb:Augustin-Louis_Cauchy
|
| gptkbp:bfsLayer |
5
|