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Meaning of Cauchy-Riemann equations

Cau'chy-Rie'mann equa"tions

Pronunciation: (kō'shē-rē'män, kō-shē'-), [key]
— Math. Math.
  1. equations relating the partial derivatives of the real and imaginary parts of an analytic function of a complex variable, as f(z) = u(x,y) + iv(x,y), by &dgr;u/&dgr;x = &dgr;v/&dgr;y and &dgr;u/&dgr;y = −&dgr;v/&dgr;x.
Random House Unabridged Dictionary, Copyright © 1997, by Random House, Inc., on Infoplease.