The story
Named after mathematicians Augustin Cauchy (1789-1857) and Bernhard Riemann (1826-1866).
Etymology from Wiktionary, CC BY-SA 4.0.
Cauchy-Riemann equation
Today it means: 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. Full definition →