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Cauchy-Riemann equations

American  
[koh-shee-ree-mahn, koh-shee-] / ˈkoʊ ʃiˈri mɑn, koʊˈʃi- /

plural noun

Mathematics.

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

Etymology

Origin of Cauchy-Riemann equations

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

Definitions and idiom definitions from Dictionary.com Unabridged, based on the Random House Unabridged Dictionary, © Random House, Inc. 2023

Idioms from The American Heritage® Idioms Dictionary copyright © 2002, 2001, 1995 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company.