Cauchy-Riemann equation en · NOUN
Etymology
Named after mathematicians Augustin Cauchy (1789-1857) and Bernhard Riemann (1826-1866).
Meanings
- (qualifier:always plural) Given a complex-valued function f and real-valued functions u and v such that f(z) = u(z) + iv(z), either of the equations (∂u)/(∂x)=(∂v)/(∂y) or (∂u)/(∂y)=-(∂v)/(∂x), which together form part of the criteria that f be complex-differentiable.
- The equivalent single equation (∂f)/(∂x)+i(∂f)/(∂y)=0.
Forms
| Spelling | Features | Labels | Source |
|---|---|---|---|
| Cauchy-Riemann equations | Number=Plur | lexicographic |