Cauchy-Riemann equations

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

/ ˈkoʊ ʃiˈri mɑn, koʊˈʃi- /

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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 δu/δx = δv/δy and δu/δy = −δv/δx.

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Origin of Cauchy-Riemann equations

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

Words nearby Cauchy-Riemann equations

Caucasus, caucho, Cauchy, Cauchy integral formula, Cauchy integral theorem, Cauchy-Riemann equations, Cauchy-Schwarz inequality, Cauchy sequence, Cauchy's inequality, caucus, cauda

How to use Cauchy-Riemann equations in a sentence

And the chalkboards in the film with the field equations are legit.
Neil deGrasse Tyson Breaks Down ‘Interstellar’: Black Holes, Time Dilations, and Massive Waves|Marlow Stern|November 11, 2014|DAILY BEAST
He majored in mathematical physics, studying mind-bending theories of quantum mechanics and partial differential equations.
How the NSA Became a Killing Machine|Shane Harris|November 9, 2014|DAILY BEAST
The equations of general relativity unambiguously predict event horizons forming if mass is sufficiently concentrated.
Black Holes Exist. So Does Bad Science|Matthew R. Francis|September 28, 2014|DAILY BEAST
This is specious quantification, whether or not differential equations have been incompetently applied.
Barbara Fredrickson’s Bestselling ‘Positivity’ Is Trashed by a New Study|Will Wilkinson|August 16, 2013|DAILY BEAST

“When I was in third grade, I was in quadratic equations when my class was, like, reading clocks,” Andraka says.
Sundance Offers Brief Documentary Films as Part of Focus Forward Project|Kevin Fallon|January 24, 2013|DAILY BEAST
There was a pulse of red darkness in Beardsley's brain as all the mental and emotional equations of his being sang a sharp alarm.
We're Friends, Now|Henry Hasse
Old Faithful had worked half-way through the algebra and was busy solving simultaneous equations whilst sitting on the War Loan.
Punch, or the London Charivari, Vol. 152, May 16, 1917.|Various
From these equations the deflection produced by any given stress on the chains or by a change of temperature can be calculated.
Encyclopaedia Britannica, 11th Edition, Volume 4, Part 3|Various
Besides these general theorems of formul, what remains in the algebraical calculus is the resolution of equations.
A System of Logic: Ratiocinative and Inductive|John Stuart Mill
The resolution of equations is, therefore, a mere variety of the general problem as above stated.
A System of Logic: Ratiocinative and Inductive|John Stuart Mill