Cauchy-Riemann equation

短语

词形变化

Cauchy-Riemann equations 复数 Cauchy-Riemann equations

释义与例句

n.
  1. 1.

    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.

    数学
  2. 2.

    The equivalent single equation (∂f)/(∂x)+i(∂f)/(∂y)=0.

    数学

词源

Named after mathematicians Augustin Cauchy (1789-1857) and Bernhard Riemann (1826-1866).

来源：wiktionary