Cauchy-Riemann equation (English, noun)
expansion: Cauchy-Riemann equation (plural Cauchy-Riemann equations)
Senses:
topics: complex-analysis
mathematics
sciences
qualifier: always plural
glosses: 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.
topics: complex-analysis
mathematics
sciences
glosses: The equivalent single equation (∂f)/(∂x)+i(∂f)/(∂y)=0.
Forms:
form: Cauchy-Riemann equations
tags: plural