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Cauchy-Riemann equations

Cauchy-Riemann equations is the plural of Cauchy-Riemann equation.

Meaning of Cauchy-Riemann equation

Noun

Cauchy-Riemann equation (plural Cauchy-Riemann equations)

  1. (always plural) Given a complex-valued function f and real-valued functions u and v such that f(z) = u(z) + iv(z), either of the equations (∂u)/(∂x)=(∂v)/(∂y) or (∂u)/(∂y)=-(∂v)/(∂x), which together form part of the criteria that f be complex-differentiable.
  2. The equivalent single equation (∂f)/(∂x)+i(∂f)/(∂y)=0.

Questions about Cauchy-Riemann equations

What is Cauchy-Riemann equations the plural of?
Cauchy-Riemann equations is the plural of Cauchy-Riemann equation.

Words near Cauchy-Riemann equations in the dictionary

  1. Cauchy sequence
  2. Cauchy sequences
  3. Cauchy space
  4. Cauchy spaces
  5. Cauchy-Riemann equation
  6. Cauchy-Riemann equations
  7. Cauchy-Schwarz inequalities
  8. Cauchy-Schwarz inequality
  9. Cauchyan
  10. Cauchyian
  11. caucus

Source and license

Adapted from Wiktionary: Cauchy-Riemann equations (page history and authors); Cauchy-Riemann equation (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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