Cauchy-Riemann equations

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

Phonetic (Standard)IPA

plural noun

Mathematics.

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 δ u /δ x = δ v /δ y and δ u /δ y = −δ v /δ x.

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Word History and Origins

Origin of Cauchy-Riemann equations¹

Named after A. L. Cauchy and G. F. B. Riemann

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Example Sentences

Examples have not been reviewed.

Other winners of the equation beauty contest included the Pythagorean identity, the identity between exponential and trigonometric functions derivable from Euler’s formula for complex analysis, and the Cauchy-Riemann equations.

From

Cauchy integral theorem Cauchy-Schwarz inequality

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