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rouc
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There are 4 letters in ROUC ( C3O1R1U1 )
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Definitions of rouc in various dictionaries:
ROUC - Rouché's theorem, named after Eugène Rouché, states that for any two complex-valued functions f and g holomorphic inside some region ...
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Rouché's theorem, named after Eugène Rouché, states that for any two complex-valued functions f and g holomorphic inside some region * * * * K * * * {\displaystyle K} * with closed contour * * * * ∂ * K * * * {\displaystyle \partial K} * , if |g(z)| < |f(z)| on * * * * ∂ * K * * * {\displaystyle \partial K} * , then f and f + g have the same number of zeros inside * * * * K * * * {\displaystyle K} * , where each zero is counted as many times as its multiplicity. This theorem assumes that the contour * * * * ∂ * K * * * {\displaystyle \partial K} * is simple, that is, without self-intersections. Rouché's theorem is an easy consequence of a stronger symmetric Rouché's theorem described below. |