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


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  • 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.

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