Contextualizebeta

Cauchy-Riemann equation

noun

Etymology

Named after mathematicians Augustin Cauchy (1789-1857) and Bernhard Riemann (1826-1866).

Definitions

  1. Given a complex-valued function f and real-valued functions u and v such that f(z) = u(z)…

    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.

The neighborhood

Vish — recursive loop

No curated loop yet for Cauchy-Riemann equation. Loops are being traced one word at a time while the ingestion pipeline matures.

sense glosses and etymology drawn from English Wiktionary · source · CC-BY-SA