Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
mathematical equations
|
| gptkbp:appliesTo |
functions of a complex variable
open subsets of the complex plane |
| gptkbp:category |
partial differential equations
|
| gptkbp:describes |
conditions for a function to be holomorphic
|
| gptkbp:field |
complex analysis
|
| gptkbp:firstPublished |
19th century
|
| gptkbp:form |
∂u/∂x = ∂v/∂y and ∂u/∂y = -∂v/∂x
|
| gptkbp:hasComponent |
imaginary part v(x, y)
real part u(x, y) |
| https://www.w3.org/2000/01/rdf-schema#label |
Cauchy–Riemann equations
|
| gptkbp:implies |
differentiability in the complex sense
|
| gptkbp:language |
gptkb:mathematics
|
| gptkbp:namedAfter |
gptkb:Augustin-Louis_Cauchy
gptkb:Bernhard_Riemann |
| gptkbp:relatedTo |
analytic continuation
harmonic functions Wirtinger derivatives |
| gptkbp:usedIn |
potential theory
analytic functions conformal mappings |
| gptkbp:bfsParent |
gptkb:Augustin-Louis_Cauchy
|
| gptkbp:bfsLayer |
5
|