Statements (22)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
meromorphic functions
|
| gptkbp:field |
complex analysis
|
| gptkbp:formedBy |
gptkb:Augustin-Louis_Cauchy
1825 |
| gptkbp:generalizes |
gptkb:Cauchy's_integral_theorem
|
| https://www.w3.org/2000/01/rdf-schema#label |
residue theorem
|
| gptkbp:publishedIn |
Cauchy's papers on complex analysis
|
| gptkbp:relatedTo |
gptkb:Cauchy's_integral_formula
gptkb:Cauchy's_integral_theorem gptkb:Laurent_series contour integration |
| gptkbp:requires |
closed contour
isolated singularities |
| gptkbp:state |
The integral of a meromorphic function around a closed contour is 2πi times the sum of the residues inside the contour.
|
| gptkbp:usedFor |
computing real integrals
evaluating complex integrals solving problems in physics and engineering |
| gptkbp:bfsParent |
gptkb:Cauchy–Goursat_theorem
gptkb:Cauchy_integral_theorem gptkb:Komplexe_Analysis |
| gptkbp:bfsLayer |
6
|