# Cauchy-Riemann equations

[koh-shee-ree-mahn, koh-shee-]

- 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 δu/δx = δv/δy and δu/δy = −δv/δx.

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## Origin of Cauchy-Riemann equations^{}

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Based on the Random House Unabridged Dictionary, © Random House, Inc. 2018