# Cauchy-integral-formula

a theorem that gives an expression in terms of an integral for the value of an analytic function at any point inside a simple closed curve of finite length in a domain.

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- Cauchy-integral-theorem
the theorem that the integral of an analytic function about a closed curve of finite length in a finite, simply connected domain is zero.

- Cauchy-Riemann equations
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.

- Cauchy-Schwarz inequality
Schwarz inequality (def 2).

- Cauchy-sequence
fundamental sequence.