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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.
Definition source: English Wiktionary via Wiktextract
Qualifier: always plural
Topics: complex-analysis, mathematics, sciences
No example sentence was provided for this meaning.
Meaning relationships
Synonyms: none provided
Antonyms: none provided
The equivalent single equation (∂f)/(∂x)+i(∂f)/(∂y)=0.
Definition source: English Wiktionary via Wiktextract
Topics: complex-analysis, mathematics, sciences
No example sentence was provided for this meaning.
Meaning relationships
Synonyms: none provided
Antonyms: none provided
Named after mathematicians Augustin Cauchy (1789-1857) and Bernhard Riemann (1826-1866).
