Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
Meromorphic functions
Contour integrals |
| gptkbp:author |
gptkb:Augustin-Louis_Cauchy
|
| gptkbp:category |
Theorems in complex analysis
|
| gptkbp:field |
Complex analysis
|
| https://www.w3.org/2000/01/rdf-schema#label |
Residue Theorem
|
| gptkbp:namedAfter |
Residue
|
| gptkbp:relatedTo |
gptkb:Cauchy's_integral_formula
gptkb:Cauchy's_integral_theorem gptkb:Laurent_series |
| gptkbp:sentence |
The integral of a function around a closed contour is 2πi times the sum of the residues inside the contour.
|
| gptkbp:usedFor |
Evaluating complex integrals
Calculating real integrals Summing series |
| gptkbp:yearProposed |
1825
|
| gptkbp:bfsParent |
gptkb:Meromorphic_Functions
|
| gptkbp:bfsLayer |
7
|